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Finding the Fourth Proportional to 621,092.08, 931,638.34 and 194,661

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Solution

The fourth proportional to 621,092.08, 931,638.34 and 194,661 is: 291,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,092.08 : 931,638.34 = 194,661 : x
  2. Step 2: Convert to fraction form
    621,092.08/931,638.34 = 194,661/x
  3. Step 3: Cross multiply
    621,092.08x = 931,638.34 × 194,661
  4. Step 4: Simplify right side
    621,092.08x = 181,353,650,902.74
  5. Step 5: Solve for x
    x = 181,353,650,902.74/621,092.08
  6. Step 6: Final answer
    x = 291,991.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.